3667312137664 has 336 divisors, whose sum is σ = 9074266173504. Its totient is φ = 1439376998400.

The previous prime is 3667312137617. The next prime is 3667312137739. The reversal of 3667312137664 is 4667312137663.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2871817794 + ... + 2871819070.

It is an arithmetic number, because the mean of its divisors is an integer number (27006744564).

Almost surely, 2^{3667312137664} is an apocalyptic number.

3667312137664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667312137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537133086752).

3667312137664 is an abundant number, since it is smaller than the sum of its proper divisors (5406954035840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3667312137664 is a wasteful number, since it uses less digits than its factorization.

3667312137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1885 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 55.

Subtracting 3667312137664 from its reverse (4667312137663), we obtain a palindrome (999999999999).

The spelling of 3667312137664 in words is "three trillion, six hundred sixty-seven billion, three hundred twelve million, one hundred thirty-seven thousand, six hundred sixty-four".